Efficient MPIE approach for the analysis of three-dimensional microstrip structures in layered media

Bunger, R.; Arndt, F.

doi:10.1109/22.618401

Cited by 45 publications

(19 citation statements)

References 18 publications

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“…The starting point of our analysis is the MPIE approach [14]- [18]. Consider a multiply connected conductor consisting of concentric rings with the volumes , , placed on a substrate consisting of infinitely extended planar layers parallel to the --plane (Fig.…”

Section: A Mpiesmentioning

confidence: 99%

“…The spectral-domain method of moments (MOM) was exploited in [13] to analyze spiral inductors on multilayered Si substrates. Reference [17] presented an analysis of planar [two-dimensional (2-D)] devices based on the mixed-potential integral-equation (MPIE) method, generalized to three-dimensional (3-D) conductors in [18]. Reference [19] used the MOM and the finite-difference time-domain technique to analyze the nonuniform current distribution in inductor windings.…”

Section: Introductionmentioning

confidence: 99%

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Mixed-Potential Volume Integral-Equation Approach for Circular Spiral Inductors

Rejaei

2004

IEEE Trans. Microwave Theory Techn.

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Abstract-The electromagnetic behavior of circular spiral inductors on layered substrates is analyzed by using the concentric ring approximation. The problem is formulated in terms of mixedpotential volume integral equations. The latter are semianalytically solved within the quasi-one-dimensional approximation. The result is a fast computationally efficient model, which takes into account substrate RF loss, as well as nonuniform current density distribution across inductor windings. The results are in good agreement with experimental data from various inductors on both low-and high-resistivity silicon substrates.

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Section: A Mpiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed-Potential Volume Integral-Equation Approach for Circular Spiral Inductors

Rejaei

2004

IEEE Trans. Microwave Theory Techn.

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“…Figure 2 shows the coupling between the two resonator elements. The coupling structure is electric because the electric fringe fields are stronger near the open ends of the resonators [4]. We simulate the proposed bandpass filter using ANSOFT's Ensemble 8, and low insertion loss in the passband and sharp rejection in the stopband are realized.…”

Section: Introductionmentioning

confidence: 99%

“…V. Losada, R.R. Boix, and M. Horno, Full-wave analysis of circular microstrip resonators in multilayered media containing uniaxial anisotropic dielectrics, magnetized ferrites, and chiral materials, IEEE The mixed-potential integral equation (MPIE) together with the method of moments (MoM) has been widely applied for the simulation of electromagnetic problems in layered media [1][2][3][4]. In the general approach to solving the MPIE for metallic structures, only electric sources need to be considered.…”

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confidence: 99%

On the structure and packing of the moment matrix in problems supporting simultaneous electric and magnetic surface currents

Schoeman

Meyer

2004

Micro & Optical Tech Letters

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be significant not only for rectangular microstrip patches over ground planes without apertures, but also for rectangular microstrip patches over ground planes with rectangular apertures. Other results also have indicated that dielectric-anisotropy effect is especially significant when the size of the aperture is similar to that of the patch. This last result agrees with that discovered theoretically for circular microstrip patches over ground planes with circular apertures [2]. Fortaki, Uniaxially anisotropic substrate effects on resonance of rectangular microstrip patch antenna, Electron Lett 35 (1999), 255-256. 6. V. Losada, R.R. Boix, and M. Horno, Full-wave analysis of circular microstrip resonators in multilayered media containing uniaxial anisotropic dielectrics, magnetized ferrites, and chiral materials, IEEE The mixed-potential integral equation (MPIE) together with the method of moments (MoM) has been widely applied for the simulation of electromagnetic problems in layered media [1][2][3][4]. In the general approach to solving the MPIE for metallic structures, only electric sources need to be considered. In the case of a slot in an infinite electrical ground plane, magnetic sources and the curl operator can however be considered in addition to One of the main problems with the computational procedure is to overcome the complicated and time-consuming task of calculating the Green's functions; for this reason, it is necessary to fill the moment matrix as efficiently as possible. Even though efficient packing of the moment matrix is essential to reduce execution times and memory, literature on the structure and filling of this matrix is uncommon. Rao, Wilton, and Glisson [9] developed a formulation for triangular basis functions and discussed an efficient implementation of the free-space solution by evaluating matrix elements by face-pair combinations rather than by edgepair combinations. Van Tonder [10] extended this formulation and introduced a filling algorithm that effectively fills symmetric matrices. However, with the exception of the free-space solution, the moment matrix becomes unsymmetrical in the presence of simultaneous electric and magnetic sources. This paper outlines a packing algorithm suitable to analyse hybrid microstrip-slotline multilayered circuits using a triangular mesh. Attention is focussed on filling a global partially symmetric matrix, incorporating the idea of isolation between elements when employing the equivalence principle at dielectric-slotline interfaces. In the standard MoM formulation, the presence of a slot in an infinite electrical conductor would require discretisation of a finite-size ground plane that surrounds the gap. The algorithm developed in this paper has the advantage of supporting both electric and magnetic sources, thus allowing discretisation of the slot interface only. The resultant matrix has fewer unknowns and faster filling times are a result. PROBLEMS INVOLVING BOTH ELECTRIC AND MAGNETIC SOURCESConsider Figure 1. Let S 1 and S 2 denote the surface of...

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“…Using this approach, the information of the dielectric layers is included in the Green's functions, so that the numerical treatment of the problem is reduced to the metallic areas printed on the substrates, thus considerably increasing the efficiency of the technique. A big limitation of this approach, however, is that the dielectric layers are considered to be of infinite transverse dimensions [Bunger and Arndt, 1997]. In addition, the infinite size analysis can not extract other important information, such as the backside radiation of printed microstrip antennas [Mosig and Gardiol, 1982].…”

Section: Introductionmentioning

confidence: 99%

Analysis of finite microstrip structures using an efficient implementation of the integral equation technique

et al. 2005

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[1] An efficient numerical implementation of the integral equation technique (IE) has been developed for the analysis of the electrical characteristics of finite microstrip structures. The technique formulates a volume version of the IE for the finite dielectric objects and a standard surface IE technique for the metallic areas. The system of integral equations formulated is solved with special numerical techniques described in this paper. The input impedances of several microstrip antennas have been computed, showing good agreement with respect measurements. The technique has shown to be accurate, even for complex geometries containing several stacked dielectric layers. The radiation patterns of the structures have also been computed, and measured results from real manufactured hardware confirm that backside radiation and secondary lobes are accurately predicted by the theoretical model. The paper also discuss a suitable excitation model for finite size ground planes and investigates the possibilities for an independent meshing of the metallic areas and the dielectric objects inside a given geometry. The practical value of the approach derived is that microstrip circuits can be designed, minimizing the volume and size of the dielectric substrates.

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Efficient MPIE approach for the analysis of three-dimensional microstrip structures in layered media

Cited by 45 publications

References 18 publications

Mixed-Potential Volume Integral-Equation Approach for Circular Spiral Inductors

Mixed-Potential Volume Integral-Equation Approach for Circular Spiral Inductors

On the structure and packing of the moment matrix in problems supporting simultaneous electric and magnetic surface currents

Analysis of finite microstrip structures using an efficient implementation of the integral equation technique

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